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2 years ago

Triangles T1 and T2 are congruent.

Mathematics

1 answer:

Inessa [10]2 years ago

3 0

The single transformation that can be used to map T₁ onto T₂ is Rotate T₁ 180° about the origin.

<h3>What transformation would map T₁ onto T₂?</h3>

When a shape is rotated 180° about the origin, it means that the points go from (x, y) to (-x, -y).

The points on T₁ if rotated 180° about the origin would go from:
(-2, -2) to (2, 2)

(5, -6) to (-5, 6)

(5,0) to (-5, 0)

These are the points of T₂ so the way to map T₁ on T₂ is to use a 180° about the origin.

Find out more on rotating about the origin at brainly.com/question/16200542

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22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

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3 years ago

Evaluate the given expression if w = 6 and z = -3.

LenaWriter [7]

The answer will be 75
-3*-3*-3*-3=81
Z^4-w
81-6=75

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3 years ago

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A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A

Troyanec [42]

Step-by-step explanation:

Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.

the problem is to maximize profit.

let desk be x

and chairs be y

400x+250y=P (maximize)

4x+3y<2000 (constraints)

according to restrictions y=2x

let us substitute y=2x in the constraints we have

4x+3(2x)<2000

4x+6x<2000

10x<2000

x<200

so with restriction, if the desk is 200 then chairs should be at least 2 times the desk

y=2x

y=200*2

y=400

we now have to substitute x=200 and y=400 in the expression for profit maximization we have

400x+250y=P (maximize)

80000+100000=P

180000=P

P=$180,000

the profit is $180,000

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3 years ago

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Digiron [165]

Answer:

okay

Step-by-step explanation:

if you want someone to help you you should probably put a question on here lol

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3 years ago

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A town's recreation department is updating its parks. The parks must have slides and swings.

Fittoniya [83]

Number of swings = x
Number of slides = y

First condition:
number of slides must be more than 3 times number of swings
This means that: y > 3x

Second condition:
each swing cost 275$ and each slide costs 168$. They cannot spend more than 1250$. This means that the sum of costs of swings and slides should not exceed 1250$ (should be less than or equal to 1250$)
This means that: 275x+168y ≤ 1250

Based on this:
The correct choices are: b and d

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3 years ago

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